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66997014 = 2372317351
BaseRepresentation
bin1111111110010…
…0101100010110
311200001210121220
43333210230112
5114122401024
610351551210
71442315400
oct377445426
9150053556
1066997014
11348aa937
121a52b506
1310b59a06
148c7db70
155d35e79
hex3fe4b16

66997014 has 48 divisors (see below), whose sum is σ = 160920576. Its totient is φ = 18522000.

The previous prime is 66997013. The next prime is 66997031. The reversal of 66997014 is 41079966.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66997013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5439 + ... + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (3352512).

Almost surely, 266997014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66997014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80460288).

66997014 is an abundant number, since it is smaller than the sum of its proper divisors (93923562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66997014 is a wasteful number, since it uses less digits than its factorization.

66997014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 66997014 is about 8185.1703708597. The cubic root of 66997014 is about 406.1487762322.

The spelling of 66997014 in words is "sixty-six million, nine hundred ninety-seven thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 7351 9114 14702 22053 44106 51457 102914 154371 227881 308742 360199 455762 683643 720398 1080597 1367286 1595167 2161194 3190334 4785501 9571002 11166169 22332338 33498507 66997014